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A Mathematical Model of Parathyroid Hormone Response to Acute Changes in Plasma Ionized Calcium Concentration in Humans

[+] Author Affiliations
Rajiv P. Shrestha, Yossi Chait, Christopher V. Hollot, Stuart Chipkin

University of Massachusetts, Amherst, MA

Claus P. Schmitt

University of Heidelberg, Heidelberg, Germany

Paper No. IMECE2008-67551, pp. 349-358; 10 pages
  • ASME 2008 International Mechanical Engineering Congress and Exposition
  • Volume 2: Biomedical and Biotechnology Engineering
  • Boston, Massachusetts, USA, October 31–November 6, 2008
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4863-0 | eISBN: 978-0-7918-3840-2
  • Copyright © 2008 by ASME


A complex bio-mechanism, referred to as calcium homeostasis, regulates plasma ionized calcium (Ca++ ) concentration in the human body to within a narrow physiologic range which is crucial for maintaining normal physiology and metabolism. In this paper we present a qualitative model of the calcium homeostatic system and then focus on a particular sub-system, termed Ca-PTH axis. We consider the dynamics of the axis involving the response of the parathyroid glands to acute changes in plasma Ca++ concentration. We use a two-pool, linear time-varying model to describe the Ca-PTH axis. We show that this model, parameterized using a guided iterative parametrization scheme and induced hypocalcemic clamp test data, successfully predicts dynamics observed in clinical tests of induced hypercalcemia in normal humans.

Copyright © 2008 by ASME



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